Fifth Week Final Test
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Due DateMay 4, 2:59 AM EDT
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Due May 4, 2:59 AM EDT
For any given function f(x) and its antiderivative F(x) it is true that:
Correct!
Correct!
Compute an antiderivative F(x) of f(x)=(x−1)/x such as F(0)=0. Write F(1).
The indefinite integral is F(x)=32(x−3)x+C.
Compute an antiderivative F(x) of
such as F(0)=1 and F(π/2)=0. Write F(π)+F(−1).
Compute I=∫01arcsinx. Write (I+1)/π, round up by 2 digits.
Compute I=∫ee2dx/(x⋅lnx). Write eI.
Choose correct statements about improper integrals:
Find improper integral: ∫0+∞x⋅e−xdx.